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13113010032498 = 23237433791208149
BaseRepresentation
bin1011111011010001110001…
…0011100000111101110010
31201102120222012210222222200
42332310130103200331302
53204320421032014443
643520011133444030
72522245420130655
oct276643423407562
951376865728880
1013113010032498
1141a6218342872
121579480640616
1374172297012c
1433495cca389c
1517b175b55dd3
hexbed1c4e0f72

13113010032498 has 96 divisors (see below), whose sum is σ = 29936797176000. Its totient is φ = 4143000451968.

The previous prime is 13113010032469. The next prime is 13113010032509. The reversal of 13113010032498 is 89423001031131.

13113010032498 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 30 + 100 + 32 + 498 = 666.

It is a super-2 number, since 2×131130100324982 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10249728 + ... + 11457876.

It is an arithmetic number, because the mean of its divisors is an integer number (311841637250).

Almost surely, 213113010032498 is an apocalyptic number.

13113010032498 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13113010032498, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14968398588000).

13113010032498 is an abundant number, since it is smaller than the sum of its proper divisors (16823787143502).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13113010032498 is a wasteful number, since it uses less digits than its factorization.

13113010032498 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1208616 (or 1208613 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 13113010032498 in words is "thirteen trillion, one hundred thirteen billion, ten million, thirty-two thousand, four hundred ninety-eight".

Divisors: 1 2 3 6 9 18 37 43 74 86 111 129 222 258 333 379 387 666 758 774 1137 1591 2274 3182 3411 4773 6822 9546 14023 14319 16297 28046 28638 32594 42069 48891 84138 97782 126207 146673 252414 293346 602989 1205978 1208149 1808967 2416298 3617934 3624447 5426901 7248894 10853802 10873341 21746682 44701513 51950407 89403026 103900814 134104539 155851221 268209078 311702442 402313617 457888471 467553663 804627234 915776942 935107326 1373665413 1922165059 2747330826 3844330118 4120996239 5766495177 8241992478 11532990354 16941873427 17299485531 19689204253 33883746854 34598971062 39378408506 50825620281 59067612759 101651240562 118135225518 152476860843 177202838277 304953721686 354405676554 728500557361 1457001114722 2185501672083 4371003344166 6556505016249 13113010032498